Information on Result #691347
Linear OA(973, 109, F9, 42) (dual of [109, 36, 43]-code), using construction X applied to Ce(41) ⊂ Ce(29) based on
- linear OA(959, 81, F9, 42) (dual of [81, 22, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(945, 81, F9, 30) (dual of [81, 36, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(914, 28, F9, 11) (dual of [28, 14, 12]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(974, 110, F9, 42) (dual of [110, 36, 43]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(972, 108, F9, 41) (dual of [108, 36, 42]-code) | [i] | Truncation | |